跳至内容
Charming proofs : a journey into elegant mathematics 線上預覽
關閉線上預覽
正在查...

Charming proofs : a journey into elegant mathematics

作者: Claudi Alsina; Roger B Nelsen; Mathematical Association of America.
出版商: Washington, DC : Mathematical Association of America, ©2010.
叢書: Dolciani mathematical expositions, no. 42.
版本/格式:   電子書 : 文獻 : 英語所有版本和格式的總覽
資料庫:WorldCat
提要:
"Theorems and their proofs lie at the heart of mathematics. In speaking of the purely aesthetic qualities of theorems and proofs, G. H. Hardy wrote that in beautiful proofs 'there is a very high degree of unexpectedness, combined with inevitability and economy'. Charming Proofs present a collection of remarkable proofs in elementary mathematics that are exceptionally elegant, full of ingenuity, and succinct. By  再讀一些...
評定級別:

(尚未評分) 0 附有評論 - 成爲第一個。

主題
更多類似這樣的

 

在線上查詢

與資料的連結

在圖書館查詢

&AllPage.SpinnerRetrieving; 正在查詢有此資料的圖書館...

詳細書目

類型/形式: Electronic books
其他的實體格式: Print version:
Alsina, Claudi.
Charming proofs.
Washington, DC : Mathematical Association of America, c2010
(DLC) 2010927263
(OCoLC)653403625
資料類型: 文獻, 網際網路資源
文件類型: 網路資源, 電腦資料
所有的作者/貢獻者: Claudi Alsina; Roger B Nelsen; Mathematical Association of America.
ISBN: 9781614442011 1614442010
OCLC系統控制編碼: 796675453
描述: 1 online resource (xxiv, 295 p.) : ill.
内容: A garden of integers --
Distinguished numbers --
Points in the plane --
The polygonal playground --
A treasury of triangle theorems --
The enchantment of the equilateral triangle --
The quadrilaterals' corner --
Squares everywhere --
Curves ahead --
Adventures in tiling and coloring --
Geometry in three dimensions --
Additional theorems, problems, and proofs.
叢書名: Dolciani mathematical expositions, no. 42.
責任: Claudi Alsina, Roger B. Nelsen.

摘要:

"Theorems and their proofs lie at the heart of mathematics. In speaking of the purely aesthetic qualities of theorems and proofs, G. H. Hardy wrote that in beautiful proofs 'there is a very high degree of unexpectedness, combined with inevitability and economy'. Charming Proofs present a collection of remarkable proofs in elementary mathematics that are exceptionally elegant, full of ingenuity, and succinct. By means of a surprising argument or a powerful visual representation, the proofs in this collection will invite readers to enjoy the beauty of mathematics, to share their discoveries with others, and to become involved in the process of creating new proofs. Charming Proofs is organized as follows. Following a short introduction about proofs and the process of creating proofs, the authors present, in twelve chapters, a wide and varied selection of proofs they consider charming, Topics include the integers, selected real numbers, points in the plane, triangles, squares, and other polygons, curves, inequalities, plane tilings, origami, colorful proofs, three-dimensional geometry, etc. At the end of each chapter are some challenges that will draw the reader into the process of creating charming proofs. There are over 130 such challenges. Charming Proofs concludes with solutions to all of the challenges, references, and a complete index. As in the authors' previous books with the MAA (Math Made Visual and When Less Is More), secondary school and college and university teachers may wish to use some of the charming proofs in their classrooms to introduce their students to mathematical elegance. Some may wish to use the book as a supplement in an introductory course on proofs, mathematical reasoning, or problem solving."--Publisher's description.

評論

讀者提供的評論
正在擷取GoodReads評論...
正在擷取DOGObooks的評論

標籤

成爲第一個
確認申請

你可能已經申請過這份資料。若還是想申請,請選確認。

連結資料


<http://www.worldcat.org/oclc/796675453>
library:oclcnum"796675453"
library:placeOfPublication
library:placeOfPublication
rdf:typeschema:Book
rdf:typeschema:MediaObject
rdf:valueUnknown value: dct
schema:about
schema:about
schema:about
schema:about
schema:about
schema:bookFormatschema:EBook
schema:contributor
schema:contributor
schema:copyrightYear"2010"
schema:creator
schema:datePublished"2010"
schema:description"A garden of integers -- Distinguished numbers -- Points in the plane -- The polygonal playground -- A treasury of triangle theorems -- The enchantment of the equilateral triangle -- The quadrilaterals' corner -- Squares everywhere -- Curves ahead -- Adventures in tiling and coloring -- Geometry in three dimensions -- Additional theorems, problems, and proofs."
schema:description""Theorems and their proofs lie at the heart of mathematics. In speaking of the purely aesthetic qualities of theorems and proofs, G. H. Hardy wrote that in beautiful proofs 'there is a very high degree of unexpectedness, combined with inevitability and economy'. Charming Proofs present a collection of remarkable proofs in elementary mathematics that are exceptionally elegant, full of ingenuity, and succinct. By means of a surprising argument or a powerful visual representation, the proofs in this collection will invite readers to enjoy the beauty of mathematics, to share their discoveries with others, and to become involved in the process of creating new proofs. Charming Proofs is organized as follows. Following a short introduction about proofs and the process of creating proofs, the authors present, in twelve chapters, a wide and varied selection of proofs they consider charming, Topics include the integers, selected real numbers, points in the plane, triangles, squares, and other polygons, curves, inequalities, plane tilings, origami, colorful proofs, three-dimensional geometry, etc. At the end of each chapter are some challenges that will draw the reader into the process of creating charming proofs. There are over 130 such challenges. Charming Proofs concludes with solutions to all of the challenges, references, and a complete index. As in the authors' previous books with the MAA (Math Made Visual and When Less Is More), secondary school and college and university teachers may wish to use some of the charming proofs in their classrooms to introduce their students to mathematical elegance. Some may wish to use the book as a supplement in an introductory course on proofs, mathematical reasoning, or problem solving."--Publisher's description."
schema:exampleOfWork<http://worldcat.org/entity/work/id/555675633>
schema:genre"Electronic books"
schema:inLanguage"en"
schema:isPartOf
schema:name"Charming proofs a journey into elegant mathematics"
schema:numberOfPages"295"
schema:publication
schema:publisher
schema:url<http://dx.doi.org/10.5948/UPO9781614442011>
schema:url<http://www.jstor.org/stable/10.4169/j.ctt6wpwnz>
schema:url<http://site.ebrary.com/id/10728518>
schema:url<http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=450277>
schema:workExample
wdrs:describedby

Content-negotiable representations

關閉視窗

請登入WorldCat 

没有帳號嗎?你可很容易的 建立免費的帳號.